Use the Gauss-Seidel method (a) Without relaxation and (b) With relaxation ( = 0.95) to solve the following system to a tolerance of S =

Use the Gauss-Seidel method

(a) Without relaxation and

(b) With relaxation (λ = 0.95) to solve the following system to a tolerance of εS = 5%. If necessary, rearrange the equations to achieve convergence.

–3x1 + x2 + 12x3 = 50

6x1 – x2 – x3 = 3

6x1 + 9x2 + x3 = 40